Triangular prismic pyramid (EntityTopic, 14)
From Hi.gher. Space
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| + | The '''triangular prismic pyramid''' is a [[CRF polychoron]] among Klitzing's [[segmentochora]] (K4.7). | ||
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| + | It can be Stott-expanded into the [[triangular magnabicupolic ring]]. | ||
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| + | ==Dichoral angles== | ||
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| + | * Between triangular prism and square pyramid: atan(√5) ≈ 65.9051574479° | ||
| + | * Between triangular prism and tetrahedron: atan(√(5/3)) ≈ 52.2387560930° | ||
| + | * Between square pyramid and tetrahedron: 103.6330222254° | ||
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| + | ==Coordinates== | ||
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| + | <pre> | ||
| + | # Triangular prism | ||
| + | <±1, -1/√3, ±1, 0> | ||
| + | <0, 2/√3, ±1, 0> | ||
| + | |||
| + | # Apex | ||
| + | <0, 0, 0, sqrt(5/3)> | ||
| + | </pre> | ||
{{Tetrashapes}} | {{Tetrashapes}} | ||
{{Tapertope Nav|26|27|28|11<sup>2</sup><br>Tetrahedral prism|[11<sup>1</sup>]<sup>1</sup><br>Triangular prismic pyramid|1<sup>3</sup><br>Pentachoron|chora}} | {{Tapertope Nav|26|27|28|11<sup>2</sup><br>Tetrahedral prism|[11<sup>1</sup>]<sup>1</sup><br>Triangular prismic pyramid|1<sup>3</sup><br>Pentachoron|chora}} | ||
Latest revision as of 18:58, 27 March 2014
The triangular prismic pyramid is a CRF polychoron among Klitzing's segmentochora (K4.7).
It can be Stott-expanded into the triangular magnabicupolic ring.
Dichoral angles
- Between triangular prism and square pyramid: atan(√5) ≈ 65.9051574479°
- Between triangular prism and tetrahedron: atan(√(5/3)) ≈ 52.2387560930°
- Between square pyramid and tetrahedron: 103.6330222254°
Coordinates
# Triangular prism <±1, -1/√3, ±1, 0> <0, 2/√3, ±1, 0> # Apex <0, 0, 0, sqrt(5/3)>
| Notable Tetrashapes | |
| Regular: | pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron |
| Powertopes: | triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate |
| Circular: | glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder |
| Torii: | tiger • torisphere • spheritorus • torinder • ditorus |
| 26. 112 Tetrahedral prism | 27. [111]1 Triangular prismic pyramid | 28. 13 Pentachoron |
| List of tapertopes | ||
